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Found 18 Documents (Results 1–18)

Some explicit curves of genus three over finite fields of characteristic two with rational points. (English) Zbl 1033.14017

Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1171-1177 (2000).
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Counting points on hyperelliptic curves over finite fields. (English) Zbl 1011.11041

Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 313-332 (2000).
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Construction of hyperelliptic curves with CM and its application to cryptosystems. (English) Zbl 0966.94009

Okamoto, Tatsuaki (ed.), Advances in cryptology - ASIACRYPT 2000. 6th international conference on the Theory and application of cryptology and information security, Kyoto, Japan, December 3-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1976, 259-273 (2000).
MSC:  94A60 14G50 14H40
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Brauer groups of curves and reciprocity laws in Brauer groups of their function fields. (English) Zbl 1045.14502

Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25–30, 1998. Berlin: Walter de Gruyter (ISBN 3-11-016399-3/hbk). 379-396 (2000).
MSC:  14F22 14H52
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Efficient algorithms for the Jacobian variety of hyperelliptic curves \(y^2=x^p-x+1\) over a finite field of odd characteristic \(p\). (English) Zbl 1009.11047

Buchmann, Johannes (ed.) et al., Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 73-89 (2000).
MSC:  11G20 11T71 94A60
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